102087037440 has 480 divisors, whose sum is σ = 374922003456. Its totient is φ = 25626378240.

The previous prime is 102087037379. The next prime is 102087037457. The reversal of 102087037440 is 44730780201.

It is a happy number.

102087037440 is a `hidden beast` number, since 1 + 0 + 208 + 7 + 0 + 3 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102087037395 and 102087037404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26424949 + ... + 26428811.

Almost surely, 2^102087037440 is an apocalyptic number.

102087037440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102087037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187461001728).

102087037440 is an abundant number, since it is smaller than the sum of its proper divisors (272834966016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102087037440 is a wasteful number, since it uses less digits than its factorization.

102087037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 102087037440 in words is "one hundred two billion, eighty-seven million, thirty-seven thousand, four hundred forty".